Mass Spectra and Regge Trajectories of $\Delta$ Baryons

TL;DR

This paper calculates the mass spectra and Regge trajectories of $$ baryons using a hypercentral Constituent Quark Model with linear confinement, comparing results with experimental data and other methods.

Contribution

It introduces a detailed analysis of $$ baryons with independent isospin states using the hCQM, including spin corrections and Regge trajectories, which is a novel comprehensive approach.

Findings

Mass spectra closely match experimental data.

Regge trajectories are successfully plotted for (n,M^2) and (J,M^2).

Spin-dependent corrections improve resonance mass predictions.

Abstract

In contrast to past studies, the current paper is focused on baryons, and all four isospin states have been independently generated using u and d quarks with various constituent masses. The hypercentral Constituent Quark Model (hCQM) serves as the theoretical foundation for computing the resonance masses. The spin-dependent and first order correction terms are added to the confining potential, which is assumed to be in linear form. The resulting results have been contrasted with a wide range of methodologies and experimentally practicable states. Regge trajectories for (n,M^2) and (J,M^2) have also been displayed in addition to mass spectra.